scholarly journals Accurate determination of the superfluid-insulator transition in the one-dimensional Bose-Hubbard model

2008 ◽  
Author(s):  
Jakub Zakrzewski ◽  
Dominique Delande ◽  
Marko Robnik ◽  
Valery Romanovski
Keyword(s):  
Hubbard Model ◽  
Accurate Determination ◽  
Insulator Transition ◽  
One Dimensional ◽  
The One

Numerical study of the one-dimensional Hubbard model in determination of trans-polyacetylene properties

2001 ◽  
Vol 296 (4) ◽  
pp. 377-387 ◽  
Author(s):  
S. Goumri-Said ◽  
R. Moussa ◽  
J.P. DuFour ◽  
L. Salomon ◽  
H. Aourag
Keyword(s):  
Hubbard Model ◽  
Numerical Study ◽  
One Dimensional ◽  
The One

METAL-INSULATOR TRANSITION IN THE HUBBARD MODEL

1996 ◽  
Vol 10 (18) ◽  
pp. 863-871
Author(s):  
ARIANNA MONTORSI ◽  
MARIO RASETTI
Keyword(s):  
Hubbard Model ◽  
Ground State ◽  
Insulator Transition ◽  
Full Model ◽  
Dimensional Model ◽  
Metal Insulator Transition ◽  
Metal Insulator ◽  
One Dimensional ◽  
Half Filling ◽  
The One

We study the metal-insulator transition of the d-dimensional Hubbard model by treating the hopping term between adjacent 1-d chains in the frame of a Clifford linearization scheme, and keeping the full model along the chains. A general equation for the critical point is worked out in terms of the correlation functions of the one-dimensional model, assuming that the transition is of the second order. The equation, which holds at any temperature, is here investigated especially at T=0, where the latter condition holds true. The solution shows the existence of an insulating ground state in any d only at half-filling for U strictly positive, as in the exact 1-d case. The transition is found to be related to a parameter reminiscent of entropy.

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